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201044344005 = 335231031973191
BaseRepresentation
bin1011101100111100101…
…1010011110011000101
3201012221010101212011000
42323033023103303011
511243214323002010
6232205234003513
720345031504501
oct2731713236305
9635833355130
10201044344005
117829832231a
1232b69416599
1315c5c7b41cb
149a32a93301
155369eb47c0
hex2ecf2d3cc5

201044344005 has 128 divisors (see below), whose sum is σ = 378602864640. Its totient is φ = 101018776320.

The previous prime is 201044343971. The next prime is 201044344049. The reversal of 201044344005 is 500443440102.

It is a happy number.

It is not a de Polignac number, because 201044344005 - 211 = 201044341957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 201044344005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63001960 + ... + 63005150.

It is an arithmetic number, because the mean of its divisors is an integer number (2957834880).

Almost surely, 2201044344005 is an apocalyptic number.

It is an amenable number.

201044344005 is a deficient number, since it is larger than the sum of its proper divisors (177558520635).

201044344005 is a wasteful number, since it uses less digits than its factorization.

201044344005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3528 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 201044344005 its reverse (500443440102), we get a palindrome (701487784107).

The spelling of 201044344005 in words is "two hundred one billion, forty-four million, three hundred forty-four thousand, five".

Divisors: 1 3 5 9 15 23 27 45 69 103 115 135 197 207 309 345 515 591 621 927 985 1035 1545 1773 2369 2781 2955 3105 3191 4531 4635 5319 7107 8865 9573 11845 13593 13905 15955 20291 21321 22655 26595 28719 35535 40779 47865 60873 63963 67965 73393 86157 101455 106605 122337 143595 182619 203895 220179 304365 319815 328673 366965 430785 466693 547857 611685 628627 660537 913095 986019 1100895 1400079 1643365 1885881 1981611 2333465 2739285 2958057 3143135 3302685 4200237 4930095 5657643 7000395 7559479 8874171 9429405 9908055 12600711 14458421 14790285 16972929 21001185 22678437 28288215 37797395 43375263 44370855 63003555 64748581 68035311 72292105 84864645 113392185 130125789 194245743 204105933 216876315 323742905 340176555 390377367 582737229 650628945 971228715 1020529665 1489217363 1748211687 1951886835 2913686145 4467652089 7446086815 8741058435 13402956267 22338260445 40208868801 67014781335 201044344005